7-Colourings

There are a total of 34 7-Colourings. You can browse them below.

Use the drop down to restrict the list to 7-Colourings that tile the hyperbolic or euclidian plane regularly.

Pivot Incidence

Signature/ Index	n-Colouring	Gyre Count	Tile-Vertex Incidence
\(3t^1f\) 1616167	\(t1,t1,t2,t2,t3,t3,f\)	4	3,4,3,4,3,4,4
\(2t^1t^2f\) 1616275	\(t1,t1,t2,t2,t3,f,t3\)	4	3,3,3,3,4,4,3
\(2t^13f\) 1616777	\(t1,t1,t2,t2,f,f,f\)	3	3,5,3,5,5,5,5
\(t^12t^2f\) 1622557	\(t1,t1,t2,t3,t2,t3,f\)	2	3,6,6,6,6,6,6
\(t^1t^2t^3f\) 1623574	\(t1,t1,t2,t3,t2,f,t3\)	2	3,6,6,6,6,6,6
\(t^1t^23f\) 1627577	\(t1,t1,t2,f,t2,f,f\)	3	3,4,4,4,4,4,4
\(t^1t^3t^1f\) 1631647	\(t1,t1,t2,t3,t3,t2,f\)	4	3,3,4,3,4,3,3
\(t^12t^3f\) 1633744	\(t1,t1,t2,t3,f,t2,t3\)	2	3,6,6,6,6,6,6
\(t^1t^3ft^2\) 1637245	\(t1,t1,t2,f,t3,t2,t3\)	2	3,6,6,6,6,6,6
\(t^1t^33f\) 1637747	\(t1,t1,t2,f,f,t2,f\)	3	3,3,3,3,3,3,3
\(t^1t^4t^1f\) 1641673	\(t1,t1,t2,t3,t3,f,t2\)	4	3,4,3,3,3,3,4
\(t^1t^4t^2f\) 1642753	\(t1,t1,t2,t3,f,t3,t2\)	4	3,4,4,4,4,4,4
\(t^1t^43f\) 1647773	\(t1,t1,t2,f,f,f,t2\)	3	3,4,4,4,4,4,4
\(t^1ft^12f\) 1671677	\(t1,t1,f,t2,t2,f,f\)	3	3,5,5,3,5,5,5
\(t^1f2t^2\) 1672255	\(t1,t1,f,t2,t3,t2,t3\)	2	3,6,6,6,6,6,6
\(t^1ft^22f\) 1672757	\(t1,t1,f,t2,f,t2,f\)	3	3,4,4,4,4,4,4
\(t^1ft^32f\) 1673774	\(t1,t1,f,t2,f,f,t2\)	3	3,3,3,3,3,3,3
\(t^12ft^2f\) 1677275	\(t1,t1,f,f,t2,f,t2\)	3	3,4,4,4,4,4,4
\(t^15f\) 1677777	\(t1,t1,f,f,f,f,f\)	2	3,6,6,6,6,6,6
\(3t^2f\) 2255275	\(t1,t2,t1,t2,t3,f,t3\)	2	5,5,5,5,4,4,5

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